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Related Experiment Video

Updated: May 22, 2026

In Situ Time-dependent Dielectric Breakdown in the Transmission Electron Microscope: A Possibility to Understand the Failure Mechanism in Microelectronic Devices

In Situ Time-dependent Dielectric Breakdown in the Transmission Electron Microscope: A Possibility to Understand the Failure Mechanism in Microelectronic Devices

Published on: June 26, 2015

From self-organized to extended criticality.

Elisa Lovecchio¹, Paolo Allegrini, Elvis Geneston

¹Center for Nonlinear Science, University of North Texas Denton, TX, USA.

Frontiers in Physiology

|May 5, 2012

Summary

We explore "extended criticality" in neuronal networks, finding that Self-Organized Criticality (SOC) emerges from this broader phenomenon. This explains the regular occurrence of neuronal avalanches despite underlying temporal complexity.

Keywords:

SOC cooperation extended criticality neural networks

Related Experiment Videos

Last Updated: May 22, 2026

In Situ Time-dependent Dielectric Breakdown in the Transmission Electron Microscope: A Possibility to Understand the Failure Mechanism in Microelectronic Devices

In Situ Time-dependent Dielectric Breakdown in the Transmission Electron Microscope: A Possibility to Understand the Failure Mechanism in Microelectronic Devices

Published on: June 26, 2015

Area of Science:

Neuroscience
Complex Systems
Statistical Physics

Background:

Criticality is a key concept in neuroscience, often associated with phase transitions.
The term 'criticality' is used for diverse phenomena, including noise-induced transitions and Self-Organized Criticality (SOC).
Extended criticality proposes a regime with multiple critical points, differing from traditional single-point phase transitions.

Purpose of the Study:

To clarify the nature of dynamical processes termed 'critical' in systems with cooperative interactions.
To investigate the relationship between extended criticality and Self-Organized Criticality (SOC) in neuronal networks.
To explain the observed regularity of neuronal avalanches in the context of criticality.

Main Methods:

Studied cooperatively firing neurons under varying interaction couplings.
Analyzed temporal complexity and avalanche properties (time length, intensity).
Investigated the emergence of SOC properties within the extended criticality framework.

Main Results:

Neuronal networks exhibit temporal complexity in an extended criticality regime, similar to traditional phase transitions.
Mittag-Leffler complexity observed in the limit of infinite time.
SOC properties (power laws for avalanche time length and intensity) were found within this extended criticality regime.
A link between extended criticality and SOC was established, explaining experimental observations.

Conclusions:

Self-Organized Criticality (SOC) emerges from a broader concept of extended criticality in neuronal systems.
Extended criticality provides a framework to understand the seemingly paradoxical regularity of neuronal avalanches.
This research bridges theoretical concepts of criticality with empirical findings in neurophysiology.